Finding the Third Proportional to 47,008 and 113,632

Step by Step Solution

1. Step 1: Write the proportion equation
   47,008 : 113,632 = 113,632 : x
2. Step 2: Convert to fraction form
   47,008/113,632 = 113,632/x
3. Step 3: Cross multiply
   47,008x = 113,632 × 113,632
4. Step 4: Simplify right side
   47,008x = 12,912,231,424
5. Step 5: Solve for x
   x = 12,912,231,424/47,008
6. Step 6: Final answer
   x = 274,681.57